Results 11 to 20 of about 959 (173)
Computation, 2021 The key objective of this paper is to construct exact traveling wave solutions of the conformable time second integro-differential Kadomtsev–Petviashvili (KP) hierarchy equation using the Exp-function method and the (2 + 1)-dimensional conformable time ...
Supaporn Kaewta +2 more
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Fractal and Fractional, 2022 This paper mainly considers the parameter estimation problem for several types of differential equations controlled by linear operators, which may be partial differential, integro-differential and fractional order operators. Under the idea of data-driven
Wenbo Zhang, Wei Gu
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On a New Class of Singular Integro-differential Equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
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Some Families of Differential Equations Associated with Multivariate Hermite Polynomials
Fractal and Fractional, 2023 In this article, the recurrence relations and shift operators for multivariate Hermite polynomials are derived using the factorization approach. Families of differential equations, including differential, integro–differential, and partial differential ...
Badr Saad T. Alkahtani +2 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2020 A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
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Advances in Difference Equations, 2021 The shifted Chebyshev polynomials of the fifth kind (SCPFK) and the collocation method are employed to achieve approximate solutions of a category of the functional equations, namely variable-order time-fractional weakly singular partial integro ...
Khadijeh Sadri +4 more
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CoRR, 2022 This article provides an effective computational algorithm based on Legendre wavelet (LW) and standard tau approach to approximate the solution of multi-dimensional distributed order time-space fractional weakly singular integro-partial differential equation (DOT-SFWSIPDE).
Yashveer Kumar +3 more
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Algorithms, 2021 The aim of this article is to present a procedure for the factorization and exact solution of boundary value problems for a class of n-th order linear Fredholm integro-differential equations with multipoint and integral boundary conditions.
Efthimios Providas +1 more
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Red Blood Cell Membrane Mechanics Using Discrete Exterior Calculus (DEC) and Optimization. [PDF]
Int J Numer Method Biomed EngWe present a novel DEC approach for calculating RBC shapes applicable to other cell types and membrane problems. We derive an energy minimization equation that can be solved semi‐implicitly, and a Lie derivative method to control node spacing. This novel work should aid computational modeling in many biological situations.
Afas KC, Goldman D.
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Cauchy Problems Associated with Certain Integro-Partial Differential Equations [PDF]
Journal of Integral Equations and Applications, 1994 Transmutations and quasi inner products are employed to developed solution representations for a class of initial value problems of the form \[ w_{tt} (x,y,t) = \{I_ x + P(D_ y)\} w(x,y,t), \quad w(x,y,0) = 0, \quad w_ t(x,y,0) = \varphi(x,y). \] Here \(t\) is the time variable and both \(x\) and \(y\) are space variables, \(I_ x\) is an integral ...
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